Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 112, 639, 10, 478 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 639, 10, 478 is 1
GCD(112, 639, 10, 478) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 639, 10, 478 is 1
GCD(112, 639, 10, 478) = 1
Given Input numbers are 112, 639, 10, 478
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Greatest Common Divisior
We found the divisors of 112, 639, 10, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 639, 10, 478 is 1.
Therefore, GCD of numbers 112, 639, 10, 478 is 1
Given Input Data is 112, 639, 10, 478
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 639 is 3 x 3 x 71
Prime Factorization of 10 is 2 x 5
Prime Factorization of 478 is 2 x 239
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(112, 639) = 71568
GCD(112, 639) = ( 112 x 639 ) / 71568
GCD(112, 639) = 71568 / 71568
GCD(112, 639) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
GCD of 112, 639, 10, 478 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 639, 10, 478?
GCD of 112, 639, 10, 478 is 1
2. Where do I get the detailed procedure to find GCD of 112, 639, 10, 478?
You can find a detailed procedure to find GCD of 112, 639, 10, 478 on our page.
3. How to find GCD of 112, 639, 10, 478 on a calculator?
You can find the GCD of 112, 639, 10, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.